Least Common Multiple of 51/361, 941/352, 103/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/361, 941/352, 103/613 quickly i.e. 4943073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/361, 941/352, 103/613 is 4943073.

LCM(51/361, 941/352, 103/613) = 4943073

LCM of 51/361, 941/352, 103/613

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/361,941/352,103/613

Given numbers are 51/361,941/352,103/613

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 51,941,103

Least Common Multiple of Numerators i.e. LCM of 51,941,103 is 4943073.

GCF of Denominators means GCF of 361,352,613 as per the given fractions.

GCF of 361,352,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,941,103

LCM of Fractions 51/361,941/352,103/613 is 4943073

Given numbers has no common factors except 1. So, there LCM is their product i.e 4943073

Least Common Multiple of 51,941,103 with GCF Formula

Least Common Multiple of 51,941,103 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,941,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,941,103) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,941,103) x common factors =1 x 1 = 1

LCM(51,941,103) = ( 51 × 941 × 103 ) / 1

LCM(51,941,103) = 4943073 / 1

LCM(51,941,103) = 4943073


Lets's calculate GCF of 361,352,613

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4943073/1

Therefore the LCM of Fractions 51/361,941/352,103/613 is 4943073

Greatest Common Factor of 361,352,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,352,613 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 361,352,613 . The biggest common factor number is the GCF number.
So the greatest common factor 361,352,613 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/361, 941/352, 103/613

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 51/361, 941/352, 103/613?

Answer: LCM of Numerators as per given numbers 51/361, 941/352, 103/613 is

LCM of Numerators i.e. for 51,941,103 is 4943073

GCF of denominators i.e. for 361,352,613 is 1.

Thus, LCM of Fractions is 4943073.Finally, LCM of Fractions for 51/361, 941/352, 103/613 is 4943073.